Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192be |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
543313362944 = 231 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 1 1 11- 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5505,-155009] |
[a1,a2,a3,a4,a6] |
j |
70393838689/2072576 |
j-invariant |
L |
1.1104923300334 |
L(r)(E,1)/r! |
Ω |
0.55524616501669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192b1 4048f1 |
Quadratic twists by: -4 8 |